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October 2021 Laminated beams with time-varying delay
Carlos A. RAPOSO, Yolanda S.S. AYALA, Carlos A.S. NONATO
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Osaka J. Math. 58(4): 929-945 (October 2021).


This manuscript is concerned with long-time dynamics for a laminated beam which consists of two identical layers of uniform thickness, taking into account that an adhesive of small thickness is bonding the two surfaces thereby producing an interfacial slip. Using the variable norm technique of Kato, we prove the global well-posedness of solutions. For asymptotic behavior, we apply the Energy Method. Assuming the control through a time-varying delay just on the transverse displacement of the beam, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.


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Carlos A. RAPOSO. Yolanda S.S. AYALA. Carlos A.S. NONATO. "Laminated beams with time-varying delay." Osaka J. Math. 58 (4) 929 - 945, October 2021.


Received: 20 April 2020; Revised: 11 August 2020; Published: October 2021
First available in Project Euclid: 11 October 2021

Primary: 35A01
Secondary: 35B40 , 35J57 , 35M30

Rights: Copyright © 2021 Osaka University and Osaka City University, Departments of Mathematics


Vol.58 • No. 4 • October 2021
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